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311_session_12_linear_programming

311_session_12_linear_programming - Introduction to Linear...

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1 Introduction to Linear Programming BUAD311 Operations Management Session 12
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2 Objectives Concepts: Linear problem Objective function Decision variables Constraints Feasible solutions Learn how to formulate a linear program in Excel
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3 Example 1 Two products, X and Y, both require processing time on machines I and II. Machine I has 200 hours available, and machine II has 400 hours available. Product X requires one hour on machine I and four hours on machine II. Product Y requires one hour on machine I and one hour on machine II. Each unit of product X yields $10 profit and each unit of Y yields $5.
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4 Example 1 Identify: Objective function Decision variable(s) Constraints
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5 How to find the optimal solution? Excel Solver Paper and pencil method, if you have too much time
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6 How to solve the LP Assign cells to decision variables.
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7 How to solve the LP Assign a cell to the objective function and type in the objective.
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8 How to solve the LP Enter constraints
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9 How to solve the LP Choose solver under tools menu (2003) Choose solver under Data tab (2007)
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10 How to solve the LP Target cell : objective
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11 How to solve the LP By changing cells : decision variables
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12 How to solve the LP Add constraint(s)
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13 How to solve the LP Click on “solve”!
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14 The solver You see the results on the spread sheet, or on the answer report.
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